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Finding the Fourth Proportional to 9,160.94, 13,743.24 and 3,895.92

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Solution

The fourth proportional to 9,160.94, 13,743.24 and 3,895.92 is: 5,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.94 : 13,743.24 = 3,895.92 : x
  2. Step 2: Convert to fraction form
    9,160.94/13,743.24 = 3,895.92/x
  3. Step 3: Cross multiply
    9,160.94x = 13,743.24 × 3,895.92
  4. Step 4: Simplify right side
    9,160.94x = 53,542,475.39
  5. Step 5: Solve for x
    x = 53,542,475.39/9,160.94
  6. Step 6: Final answer
    x = 5,844.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.